Mobile RAM and shape formation by programmable particles

Giuseppe Antonio Di Luna, Paola Flocchini, Nicola Santoro, Giovanni Viglietta, Yukiko Yamauchi

研究成果: Chapter in Book/Report/Conference proceedingConference contribution

1 被引用数 (Scopus)


In the distributed model Amoebot of programmable matter, the computational entities, called particles, are anonymous finite-state machines that operate and move on a hexagonal tessellation of the plane. In this paper we show how a constant number of such weak particles can simulate a powerful Turing-complete entity that is able to move on the plane while computing. We then show an application of our tool to the classical Shape-Formation problem, providing a new and much more general distributed solution. Indeed, while the existing algorithms allow to form only shapes made of arrangements of segments and triangles, our algorithm allows the particles to form also more abstract and general connected shapes, including circles and spirals, as well as fractal objects of non-integer dimension. In lieu of the existing impossibility results based on the symmetry of the initial configuration of the particles, our result provides a complete characterization of the connected shapes that can be formed by an initially simply connected set of particles. Furthermore, in the case of non-connected target shapes, we give almost-matching necessary and sufficient conditions for their formability.

ホスト出版物のタイトルEuro-Par 2020
ホスト出版物のサブタイトルParallel Processing - 26th International Conference on Parallel and Distributed Computing, Proceedings
編集者Maciej Malawski, Krzysztof Rzadca
出版ステータス出版済み - 2020
イベント26th International European Conference on Parallel and Distributed Computing, Euro-Par 2020 - Warsaw, ポーランド
継続期間: 8 24 20208 28 2020


名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
12247 LNCS


会議26th International European Conference on Parallel and Distributed Computing, Euro-Par 2020

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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